A095257 Sum of three edges of box having both integral orthogonal sides and integral geodesic distances between opposite vertices.

833, 2737, 3703, 11431, 30889, 32759, 82943, 109871, 175441, 204631, 221753, 284257, 342391, 351679, 454631, 606487, 734761, 827407, 905849, 965209, 970921, 998809, 1088017, 1166081, 1228687, 1345057, 1609097, 1642039, 1823647, 2107609